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Finding the Fourth Proportional to 342.77, 514.14 and 160.10

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Solution

The fourth proportional to 342.77, 514.14 and 160.10 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.77 : 514.14 = 160.10 : x
  2. Step 2: Convert to fraction form
    342.77/514.14 = 160.10/x
  3. Step 3: Cross multiply
    342.77x = 514.14 × 160.10
  4. Step 4: Simplify right side
    342.77x = 82,313.81
  5. Step 5: Solve for x
    x = 82,313.81/342.77
  6. Step 6: Final answer
    x = 240.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.